52878768943104 has 624 divisors, whose sum is σ = 169170264480672. Its totient is φ = 15813398495232.

The previous prime is 52878768943057. The next prime is 52878768943129. The reversal of 52878768943104 is 40134986787825.

It is a happy number.

52878768943104 is a `hidden beast` number, since 52 + 8 + 7 + 87 + 68 + 9 + 431 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2717714944 + ... + 2717734400.

It is an arithmetic number, because the mean of its divisors is an integer number (271106193078).

It is a 1-persistent number, because it is pandigital, but 2⋅52878768943104 = 105757537886208 is not.

Almost surely, 2^{52878768943104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52878768943104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84585132240336).

52878768943104 is an abundant number, since it is smaller than the sum of its proper divisors (116291495537568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52878768943104 is a wasteful number, since it uses less digits than its factorization.

52878768943104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19660 (or 19635 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 52878768943104 in words is "fifty-two trillion, eight hundred seventy-eight billion, seven hundred sixty-eight million, nine hundred forty-three thousand, one hundred four".